Linear Algebra

Code	Completion	Credits	Range	Language
11LA	Z,ZK	3	2P+1C+10B	Czech

Lecturer:

Martina Bečvářová (guarantor), Lucie Kárná, Jan Přikryl

Tutor:

Martina Bečvářová (guarantor), Lucie Kárná, Pavel Provinský, Jan Přikryl

Supervisor:

Department of Applied Mathematics

Synopsis:

Vector spaces (linear combinations, linear independence, dimension, basis, coordinates). Matrices and operations. Systems of linear equations and their solvability. Determinants and their applications. Scalar product. Similarity of matrices (eigenvalues and eigenvectors). Quadratic forms and their classification.

Requirements:

algebra and arithmetic (secondary schools level)

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Learning basic concepts and methods of linear algebra and their applications in solving standard examples.

Study materials:

J. Nagy, J. Taufer, Algebra, ČVUT, Praha, 1997, skriptum FD ČVUT.

J. Bečvář, Lineární algebra, Matfyzpress, Praha, 2000.

L. Motl, M. Zahradník, Pěstujeme lineární algebru, UK, Karolinum, Praha, 1995.

http://www.fd.cvut.cz/personal/becvamar/Linearni%20algebra.html.

Note:

Time-table for winter semester 2020/2021:

Time-table is not available yet

Time-table for summer semester 2020/2021:

Time-table is not available yet

The course is a part of the following study plans:

Prospectus-Bachelor (elective specialized course)
bak.prez.10/11 (compulsory course)
PIL bak.prez.10/11 (compulsory course)
TUL bak.prez.10/11 (compulsory course)
MED bak.komb.10/11 (compulsory course)
MED bak.komb.11/12 (compulsory course)
PIL bak.prez.11/12 (compulsory course)
bak.prez.11/12 (compulsory course)
TUL bak.prez.11/12 (compulsory course)
AUT bak.prez.11/12 (compulsory course)
DOS bak.prez.11/12 (compulsory course)
ITS bak.prez.11/12 (compulsory course)
LED bak.prez.11/12 (compulsory course)
MED bak.prez.11/12 (compulsory course)
bak.prez.12/13 (compulsory course)
MED bak.komb.12/13 (compulsory course)
PIL bak.prez.12/13 (compulsory course)
TUL bak.prez.12/13 (compulsory course)
AUT bak. prez.12/13 (compulsory course)
DOS bak.prez.12/13 (compulsory course)
MED bak.prez.12/13 (compulsory course)
ITS bak.prez.12/13 (compulsory course)
LED bak.prez.12/13 (compulsory course)
PIL bak.prez.13/14 (compulsory course)
TUL bak.prez.13/14 (compulsory course in the program)
bak.prez.13/14 (compulsory course)
MED bak.komb.13/14 (compulsory course)
AUT bak.prez.13/14 (compulsory course)
DOS bak.prez.13/14 (compulsory course)
ITS bak.prez.13/14 (compulsory course)
LED bak.prez.13/14 (compulsory course)
MED bak.prez.13/14 (compulsory course)
DOS bak.prez.13/14 (SKOK) (compulsory course)
LED bak.prez.13/14 (SKOK) (compulsory course)
MED bak.prez.13/14 (SKOK) (compulsory course)
bak.prez.14/15 (compulsory course)
PIL bak.prez.14/15 (compulsory course)
TUL bak.prez.14/15 (compulsory course in the program)
DOS bak.prez.14/15 (compulsory course)
MED bak.prez.14/15 (compulsory course)
AUT bak.prez.14/15 (compulsory course)
ITS bak.prez.14/15 (compulsory course)
LED bak.prez.14/15 (compulsory course)
bak.prez.od 15/16 (compulsory course)
PIL bak.prez.15/16 (compulsory course)
TUL bak.prez.15/16 (compulsory course in the program)
DOS bak.prez.15/16 (compulsory course)
MED bak.prez.15/16 (compulsory course)
AUT bak.prez.15/16 (compulsory course)
ITS bak.prez.15/16 (compulsory course)
LED bak.prez.15/16 (compulsory course)
BEZ bak.prez.15/16 (compulsory course)
bak.prez.od 16/17 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
PIL bak.prez.16/17 (compulsory course)
TUL bak.prez.16/17 (compulsory course in the program)
DOS bak.prez.16/17 (compulsory course)
LOG bak.prez.16/17 (compulsory course)
ITS bak.prez.16/17 (compulsory course)
LED bak.prez.16/17 (compulsory course)
BEZ bak.prez.16/17 (compulsory course)
bak.prez.od 17/18 (compulsory course)
bak.prez.od 16/17 - v 1.sem. si ZAPSALI 14DB (compulsory course)
PIL bak.prez.17/18 (compulsory course)
TUL bak.prez.17/18 (v 2017-18 si NEzapsali 11PEM) (compulsory course in the program)
DOS bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
DOS bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
LOG bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
LOG bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
ITS bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
ITS bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
LED bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
LED bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
BEZ bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
BEZ bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
LOG bak.prez.17/18 - včetně 11FYZ v 3.s. (compulsory course)
LED bak.prez.17/18 - včetně 11FYZ v 3.s. (compulsory course)
bak.prez.od 18/19 (compulsory course)
PIL bak.prez.18/19 (compulsory course)
TUL bak.prez.18/19 (compulsory course in the program)
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ITS bak.prez.18/19 (compulsory course)
LED bak.prez.18/19 (compulsory course)
TUL bak.prez.17/18 (v 2017-18 si ZAPSALI 11PEM) (compulsory course in the program)
DOS bak.prez.18/19 (skok do 3.r.) (compulsory course)
CŽV pro LED bak.prez. v 18/19 (compulsory course)
LOG bak.prez.18/19 (skok do 3.r.) (compulsory course)
ITS bak.prez.18/19 (skok do 3.r.) (compulsory course)
LED bak.prez.18/19 - skok z 2.r.do 3.r. (compulsory course)
PIL bak.prez.19/20 (compulsory course)
bak.prez.od 19/20 (compulsory course)
TUL bak.prez.19/20 (compulsory course in the program)
LED bak.prez.19/20 angličtina (compulsory course)
TUL bak.prez.17/18 (v 2017-18 si NEzapsali 11PEM) - namísto něj 21ZYL1 (compulsory course in the program)
DOS bak.prez.19/20 (compulsory course)
LOG bak.prez.19/20 (compulsory course)
ITS bak.prez.19/20 (compulsory course)
LED bak.prez.19/20 (compulsory course)
ITS bak.prez.19/20 (skok do 3.r.) (compulsory course)
DOS bak.prez.19/20 (skok do 3.r.) (compulsory course)
LED bak.prez.19/20 (skok do 3.r.) (compulsory course)
TUL bak.prez.19/20 (skok do 3.r.) (compulsory course in the program)
PIL bak.prez.20/21 (compulsory course)
TUL bak.prez.20/21 (compulsory course in the program)
bak.prez.od 20/21 (pro B3710) (compulsory course)
LED bak.prez.20/21 angličtina (compulsory course)
DOS bak.prez.20/21 (compulsory course)
LOG bak.prez.20/21 (compulsory course)
LOG bak.prez.20/21 (skok do 3.r.) (compulsory course)
ITS bak.prez.20/21 (compulsory course)
ITS bak.prez.20/21 (skok do 3.r.) (compulsory course)
LED bak.prez.20/21 (compulsory course)
LED bak.prez.20/21 (skok do 3.r.) (compulsory course)
PIL bak.prez.20/21 (skok do 3.r.) (compulsory course)